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Finding the Fourth Proportional to 265,337.92, 398,005.98 and 107,566

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Solution

The fourth proportional to 265,337.92, 398,005.98 and 107,566 is: 161,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,337.92 : 398,005.98 = 107,566 : x
  2. Step 2: Convert to fraction form
    265,337.92/398,005.98 = 107,566/x
  3. Step 3: Cross multiply
    265,337.92x = 398,005.98 × 107,566
  4. Step 4: Simplify right side
    265,337.92x = 42,811,911,244.68
  5. Step 5: Solve for x
    x = 42,811,911,244.68/265,337.92
  6. Step 6: Final answer
    x = 161,348.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.